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Book Categories |
Preface | ||
1 | The Complex Numbers | 1 |
2 | Functions of the Complex Variable z | 20 |
3 | Analytic Functions | 34 |
4 | Line Integrals and Entire Functions | 43 |
5 | Properties of Entire Functions | 56 |
6 | Properties of Analytic Functions | 67 |
7 | Further Properties of Analytic Functions | 80 |
8 | Simply Connected Domains | 92 |
9 | Isolated Singularities of an Analytic Function | 103 |
10 | The Residue Theorem | 115 |
11 | Applications of The Residue Theorem to the Evaluation of Integrals Sums | 130 |
12 | Further Contour Integral Techniques | 149 |
13 | Introduction to Conformal Mapping | 157 |
14 | The Riemann Mapping Theorem | 178 |
15 | Maximum-Modulus Theorems for Unbounded Domains | 190 |
16 | Harmonic Functions | 200 |
17 | Different Forms of Analytic Functions | 215 |
18 | Analytic Continuation; The Gamma and Zeta Functions | 228 |
19 | Applications to Other Areas of Mathematics | 243 |
App. I | A Note on Simply Connected Regions | 256 |
App. II | Circulation and Flux as Contour Integrals | 257 |
App. III | Steady-State Temperatures; The Heat Equation | 258 |
App. IV | Tchebychev Estimates | 260 |
Answers | 263 | |
Bibliography | 290 | |
Index | 293 |
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Add Complex Analysis Second Edition, This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. Complex Analysis offers new and interesting motivations for c, Complex Analysis Second Edition to the inventory that you are selling on WonderClubX
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Add Complex Analysis Second Edition, This unusually lively textbook on complex variables introduces the theory of analytic functions, explores its diverse applications and shows the reader how to harness its powerful techniques. Complex Analysis offers new and interesting motivations for c, Complex Analysis Second Edition to your collection on WonderClub |